2(10-x)+4(12-x)=34

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Solution for 2(10-x)+4(12-x)=34 equation: 


Simplifying
2(10 + -1x) + 4(12 + -1x) = 34
(10 * 2 + -1x * 2) + 4(12 + -1x) = 34
(20 + -2x) + 4(12 + -1x) = 34
20 + -2x + (12 * 4 + -1x * 4) = 34
20 + -2x + (48 + -4x) = 34

Reorder the terms:
20 + 48 + -2x + -4x = 34

Combine like terms: 20 + 48 = 68
68 + -2x + -4x = 34

Combine like terms: -2x + -4x = -6x
68 + -6x = 34

Solving
68 + -6x = 34

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-68' to each side of the equation.
68 + -68 + -6x = 34 + -68

Combine like terms: 68 + -68 = 0
0 + -6x = 34 + -68
-6x = 34 + -68

Combine like terms: 34 + -68 = -34
-6x = -34

Divide each side by '-6'.
x = 5.666666667

Simplifying
x = 5.666666667

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